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Question

We know that Probability of an event E, written as P(E) =Number of outcomes favourable to E (m)Number of all possible outcomes of the experiment (n).
Which of the following options correctly explains the relationship between m and n?

A
m=n>0
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B
m0 , n>0, mn
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C
m0n
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D
0mn
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Solution

The correct option is B m0 , n>0, mn
Following two points are worth noticing while checking the relationship between m and n:
1. The probability of occurring of an event can never be more than one.
Hence,P(E)=mn1mn

And, 2. The number of events and the number of possible outcomes can never be negative. Thus, the value of m and n is always greater than 0.
m0 , n>0, mn

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